Highest Common Factor of 962, 518, 336 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 962, 518, 336 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 962, 518, 336 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 962, 518, 336 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 962, 518, 336 is 2.
HCF(962, 518, 336) = 2
HCF of 962, 518, 336 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 962, 518, 336 is 2.
Highest Common Factor of 962,518,336 is 2
Step 1: Since 962 > 518, we apply the division lemma to 962 and 518, to get
962 = 518 x 1 + 444
Step 2: Since the reminder 518 ≠ 0, we apply division lemma to 444 and 518, to get
518 = 444 x 1 + 74
Step 3: We consider the new divisor 444 and the new remainder 74, and apply the division lemma to get
444 = 74 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 74, the HCF of 962 and 518 is 74
Notice that 74 = HCF(444,74) = HCF(518,444) = HCF(962,518) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 336 > 74, we apply the division lemma to 336 and 74, to get
336 = 74 x 4 + 40
Step 2: Since the reminder 74 ≠ 0, we apply division lemma to 40 and 74, to get
74 = 40 x 1 + 34
Step 3: We consider the new divisor 40 and the new remainder 34, and apply the division lemma to get
40 = 34 x 1 + 6
We consider the new divisor 34 and the new remainder 6,and apply the division lemma to get
34 = 6 x 5 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 74 and 336 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(34,6) = HCF(40,34) = HCF(74,40) = HCF(336,74) .
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Frequently Asked Questions on HCF of 962, 518, 336 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 962, 518, 336?
Answer: HCF of 962, 518, 336 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 962, 518, 336 using Euclid's Algorithm?
Answer: For arbitrary numbers 962, 518, 336 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.